Original scientific paper

Phase-integral approach to Rosen-Morse potentials

Nils Dalarsson ; Institute of Theoretical Physics, Uppsala University, Sweden

Abstract

We apply the phase-integral condition to the motion of a quantal particle in the Rosen-Morse potential V (x) = B0 tanh (x/x0) − U0 cosh−2 (x/x0) to show that it yields the energy eigenvalues exactly in any order of approximation, when the base function is chosen conveniently. Thereafter, we show that the phase-integral formula for the normalization factors of bound states agrees very satisfactorily with the exact calculation. Finally, we apply the phase-integral formula for the reflexion coefficient to the transmission of a quantal particle through the above potential to show that it gives very accurate results.

Keywords

Hrčak ID:

303085

URI

https://hrcak.srce.hr/303085

Publication date:

1.9.1994.

Article data in other languages: croatian

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